In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Boxâ€¦Â (More)

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2013

2013

- Weihong Guo, Ming-Jun Lai
- SIAM J. Imaging Sciences
- 2013

We present a new box spline wavelet frame and apply it for image edge analysis. The wavelet frame is tight and constructed basedâ€¦Â (More)

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2009

2009

- Neil A. Dodgson, Ursula H. AugsdÃ¶rfer, Thomas J. Cashman, Malcolm A. Sabin
- IMA Conference on the Mathematics of Surfaces
- 2009

Abstract. We describe and demonstrate an arrow notation for deriving box-spline subdivision schemes. We compare it with the zâ€¦Â (More)

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2008

2008

- Inho Kim, Alireza Entezari, JÃ¶rg Peters
- IEEE Transactions on Visualization and Computerâ€¦
- 2008

We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6â€¦Â (More)

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2007

2007

- Alireza Entezari
- 2007

The Body Centered Cubic (BCe) and Face Centered Cubic (FCC) lattices along with a set of box splines for sampling andâ€¦Â (More)

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2007

2007

- Stephan Dahlke
- 2007

Some speciic box splines are reenable functions with respect to nn expanding integer scaling matrices M satisfying M n = 2Iâ€¦Â (More)

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2005

2005

- Malcolm A. Sabin, Ursula H. AugsdÃ¶rfer, Neil A. Dodgson
- IMA Conference on the Mathematics of Surfaces
- 2005

Certain problems in subdivision surfaces have provided the incentive to look at artifacts. Some of these effects are common toâ€¦Â (More)

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2000

2000

- Luiz Velho
- SIBGRAPI
- 2000

In this paper we introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 4-directionâ€¦Â (More)

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1997

1997

- JÃ¶rg Peters, Michael Wittman
- Symposium on Solid Modeling and Applications
- 1997

The zero set of a trivariate spline is used to blend basic CSG surfaces of algebraic degree up to four. The resulting volumeâ€¦Â (More)

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1997

1997

- Wenjie He, Ming-Jun Lai
- 1997

Battle-Lemari e's wavelet has a nice generalization in the bivariate setting. This generalization is called bivariate box splineâ€¦Â (More)

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1989

1989

- Carl de Boory, Nira Dynz, Amos Rony
- 1989

The polynomial space H in the span of the integer translates of a box spline M admits a well-known characterization as the jointâ€¦Â (More)

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